# Consumer Math

## Learning Topics:

Percent and proportions with IS over OF, discount and sale price, simple interest, commission, sales tax, percent increase and decrease.

This page lists the Learning Objectives for all lessons in Unit 10.

#### Percent and Proportions

The student will be able to:

• Define percent, ratio proportion and equivalent fractions.
• Analyze percent problems to identify the given information and the unknown quantity.
• Assign a variable to represent the unknown quantity.
• Formulate a proportion to find the unknown quantity.
• Solve the proportion to find the unknown quantity.
• Explain the answer as it relates to the original problem statement.
• Recognize that the unknown quantity is different for each problem depending on how it is worded.
• Translate real-world problems into proportions involving percent.
• Apply percent and proportion concepts and procedures to complete five interactive exercises.

#### Discount and Sale Price

The student will be able to:

• Define percent, original price, rate, discount and sale price.
• Identify the rate from a real-world problem.
• Compute the discount.
• Compute the sale price.
• Describe the procedures for finding discount and sale price.
• Describe an alternate procedure for finding sale price and discount.
• Evaluate five interactive exercises with real-world problems.
• Analyze each problem to identify the given information.
• Formulate a strategy for solving each problem.
• Apply the procedures for finding discount and sale price to solve problems.

#### Simple Interest

The student will be able to:

• Define principal, interest, interest rate and time.
• Describe the formula for finding simple interest.
• Apply the formula for finding simple interest.
• Recognize the importance of converting time from months to years before applying the formula for interest.
• Recognize the difference between simple and compound interest.
• Compute simple interest.
• Evaluate five interactive exercises with real-world problems.
• Analyze each problem to identify the given information.
• Formulate a strategy for solving each problem.
• Apply the procedures for finding simple interest to solve problems.

#### Commission

The student will be able to:

• Define percentage, commission and straight commission.
• Identify the given information from real-world problems.
• Compute commission by applying percent concepts.
• Restate the formula for finding straight commission.
• Recognize that a commission can be earned or paid, depending on who is the seller and who is the client.
• Evaluate five interactive exercises with real-world problems.
• Analyze each problem to identify the given information.
• Formulate a strategy for solving each problem.
• Apply the procedure for finding commission to solve problems.

#### Sales Tax

The student will be able to:

• Define sales tax and tax rate.
• Describe how sales tax is collected.
• Compute sales tax by applying percent concepts.
• Describe the procedure for computing sales tax.
• Recognize that sales tax is included in the sale price in some countries.
• Evaluate five interactive exercises with real-world problems.
• Analyze each problem to identify the given information.
• Formulate a strategy for solving each problem.
• Apply sales tax procedures to solve problems.

#### Percent Change

The student will be able to:

• Define percent increase, percent decrease, and percent change.
• Examine how percent increase is computed in a real-world problem.
• Examine how percent decrease is computed in a real-world problem.
• Restate the formula for finding percent change.
• Identify the given information from real-world problems.
• Compute percent change from real-world problems.
• Distinguish between percent increase and percent decrease.
• Recognize that percent increase and percent decrease are measures of percent change.
• Evaluate five interactive exercises with real-world problems.
• Analyze each problem to identify the given information.
• Formulate a strategy for solving each problem.
• Apply percent change formulas and procedures to solve problems.

#### Practice Exercises

The student will be able to:

• Examine ten interactive exercises for all topics in this unit.
• Determine which formulas and procedures are needed to complete each practice exercise.
• Compute answers by applying appropriate formulas and procedures.
• Self-assess knowledge and skills acquired from this unit.

#### Challenge Exercises

The student will be able to:

• Evaluate ten interactive exercises with real-world problems for all topics in this unit.
• Analyze each problem to identify the given information.
• Formulate a strategy for solving each problem.
• Apply strategies to solve routine and non-routine problems.
• Synthesize all information presented in this unit.
• Connect percent applications to the real world.
• Develop problem-solving skills.

#### Solutions

The student will be able to:

• Examine the solution for each exercise presented in this unit.
• Identify which solutions need to be reviewed.
• Compare solutions to completed exercises.
• Identify and evaluate incorrect answers.
• Amend and label original answers.
• Identify areas of strength and weakness.
• Decide which formulas and procedures need to be reviewed from this unit.